Move/Rotate/Scale without needing to hit the gizmo with your mouse
As @Aardenon said, you can push G to use the grab tool. From there, pushing X Y or Z will lock it to that axis. If you're in edit mode, pushing X Y or Z again will allow you to move your selection on a local axis, and in object mode, this just unlocks the axis.

Also, you can hold Shift + [axis] to exclude that axis from the lock (e.g. holding shift + X will lock the transform to the Y and Z axes).

This also works with the rotate tool (Rkey ) and the scale tool ( S key).